Austin just bought a new car for $25,470. It was on sale for 15% off. What was the original price of the car?

Convert 12 7/12 to a common number

o-na [289]

As a decimal it is 0.58

8 0

3 years ago

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3. Crystal has decided to drive her new car on the west coast from California to Washington, which is about 930

antoniya [11.8K]

Answer:

The correct option is the first graph (Yes)

Step-by-step explanation:

The given function is W(d) = 930/d

Where;

W(d) = The number of days it would take to get to Washington

d = The distance travelled each day in miles

We note that the given graphs have number of days in the y-axis and the miles in the x-axis, and that in the function, the distance Crystal travels each day is constant, <em>d</em>, while the 930 is the total distance from California to Washington, while W(d) is the time

Therefore, the variables for crystal are W(d) and the part of 930 miles completed, while the constant is the speed, d = miles/day, which gives;

W(d) = 930/d

W(d) ∝ Part of 930 miles completed × Constant

∴ W(d) which is the time is directly proportional to the distance

The graph which represents the number of days, W(d) it will take Crystal to get to Washington (miles completed) as a function of distance traveled per day, <em>d</em>, which is constant is a straight line graph which is the first graph

7 0

3 years ago

-2/7x=4/7 how to check your answer

Ymorist [56]

Answer:

1)Evaluate the left-hand side expression at the given value to get a number.

2)Evaluate the right-hand side expression at the given value to get a number.

3)See if the numbers match.

Sorry if wrong

7 0

3 years ago

A coin is tossed twice. What is the probability of getting a tail in the first toss and a tail in the second toss?

skelet666 [1.2K]

Answer:

<h2>1/4 Chances</h2><h2>25% Chances</h2><h2>0.25 Chances (out of 1)</h2>

Step-by-step explanation:

Two methods to answer the question.

Here are presented to show the advantage in using the product rule given above.

<h2>Method 1:Using the sample space</h2>

The sample space S of the experiment of tossing a coin twice is given by the tree diagram shown below

The first toss gives two possible outcomes: T or H ( in blue)

The second toss gives two possible outcomes: T or H (in red)

From the three diagrams, we can deduce the sample space S set as follows

S={(H,H),(H,T),(T,H),(T,T)}

with n(S)=4 where n(S) is the number of elements in the set S

tree diagram in tossing a coin twice

The event E : " tossing a coin twice and getting two tails " as a set is given by

E={(T,T)}

with n(E)=1 where n(E) is the number of elements in the set E

Use the classical probability formula to find P(E) as:

P(E)=n(E)n(S)=14

<h2>Method 2: Use the product rule of two independent event</h2>

Event E " tossing a coin twice and getting a tail in each toss " may be considered as two events

Event A " toss a coin once and get a tail " and event B "toss the coin a second time and get a tail "

with the probabilities of each event A and B given by

P(A)=12 and P(B)=12

Event E occurring may now be considered as events A and B occurring. Events A and B are independent and therefore the product rule may be used as follows

P(E)=P(A and B)=P(A∩B)=P(A)⋅P(B)=12⋅12=14

NOTE If you toss a coin a large number of times, the sample space will have a large number of elements and therefore method 2 is much more practical to use than method 1 where you have a large number of outcomes.

We now present more examples and questions on how the product rule of independent events is used to solve probability questions.

8 0

3 years ago

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Chicago, Illinois has an elevation of 600 feet. Seely, California is -200 feet. What does 0 represent in the context of this sit

tatyana61 [14]

Answer:

Sea level

Step-by-step explanation:

In geography, 'Elevation' is measured in relation to sea level, so sea level would be zero.

Thus, Chicago is 600 feet above sea level and Seely, California is 200 feet below sea level.

If there were nothing but flat land all the way from Seely to the ocean, sea water would come in and cover Seely. Fortunately for the people in Seely. California's coastal mountain range is between the town and the ocean, so that does not happen.

3 0

3 years ago

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Austin just bought a new car for $25,470. It was on sale for 15% off. What was the original price of the car?​

Austin just bought a new car for $25,470. It was on sale for 15% off. What was the original price of the car?